An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points
Year: 2019
Author: Yuan Chen, Songming Hou, Xu Zhang
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 5 : pp. 1005–1021
Abstract
Interface problems have wide applications in modern scientific research. Obtaining accurate numerical solutions of multi-domain problems involving triple junction conditions remains a significant challenge. In this paper, we develop an efficient finite element method based on non-body-fitting meshes for solving multi-domain elliptic interface problems. We follow the idea of immersed finite element by modifying local basis functions to accommodate interface conditions. We enrich the local finite element space by adding new basis functions for handling non-homogeneous flux jump. The numerical scheme is symmetric and positive definite. Numerical experiments are provided to demonstrate the features of our method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2018-0175
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 5 : pp. 1005–1021
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Immersed finite element interface problems triple junction multi-domain.
Author Details
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